131271478416 has 400 divisors, whose sum is σ = 433662712560. Its totient is φ = 38041436160.

The previous prime is 131271478379. The next prime is 131271478423. The reversal of 131271478416 is 614874172131.

131271478416 is a `hidden beast` number, since 13 + 127 + 1 + 478 + 41 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35530742016 + 95740736400 = 188496^2 + 309420^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20028996 + ... + 20035548.

Almost surely, 2^131271478416 is an apocalyptic number.

131271478416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131271478416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216831356280).

131271478416 is an abundant number, since it is smaller than the sum of its proper divisors (302391234144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131271478416 is a wasteful number, since it uses less digits than its factorization.

131271478416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6641 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 131271478416 in words is "one hundred thirty-one billion, two hundred seventy-one million, four hundred seventy-eight thousand, four hundred sixteen".